Search a number
-
+
220697701224 = 233711213835141
BaseRepresentation
bin1100110110001010011…
…0111010101101101000
3210002122210122211220020
43031202212322231220
512103442102414344
6245215341400440
721642044336160
oct3154246725550
9702583584806
10220697701224
118566310a500
1236933269120
1317a7240ca70
14a978d035a0
155b1a5ab719
hex33629bab68

220697701224 has 192 divisors, whose sum is σ = 746416513920. Its totient is φ = 52914470400.

The previous prime is 220697701171. The next prime is 220697701229. The reversal of 220697701224 is 422107796022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (220697701229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153307 + ... + 681834.

It is an arithmetic number, because the mean of its divisors is an integer number (3887586010).

Almost surely, 2220697701224 is an apocalyptic number.

220697701224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220697701224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373208256960).

220697701224 is an abundant number, since it is smaller than the sum of its proper divisors (525718812696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220697701224 is a wasteful number, since it uses less digits than its factorization.

220697701224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835192 (or 835177 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 220697701224 in words is "two hundred twenty billion, six hundred ninety-seven million, seven hundred one thousand, two hundred twenty-four".